Show that the dipole matches with the electric field expressed in ecuation (1) in terms of the dipolar moment p, when p=qd. In Figure 1 there is dipole where the electric field is determined in point P, with a distance z of the center of the dipole; the magnitud of the charge is q.
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Show that the dipole matches with the electric field expressed in ecuation (1) in terms of...
An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing the positive and negative charges inside the molecule in opposite directions. The dipole moment of the induced dipole is directly proportional to the electric field at the molecule. That is, p⃗ =αE⃗ , where p⃗ is the induced dipole moment, α is called the polarizability of the molecule, and E⃗ is the electric field at the molecule. A stronger electric field at the molecule results in a...
1. (15 pt) Electric dipole field Oscillating charges produce electromagnetic radiation. The most common antenna is the dipole antenna. Here you will derive the static dipole field at a particular point in space. (a) (8 pt) Find the electric field (magnitude,tq and direction) at point P due to the d2 charges in the figure. Assume free space. d/2 (b) (5 pt) Simplify the expression for the case of rd and write your expression d2 in terms of the magnitude of...
Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle with respect to the y axis. There is an externalelectric field of magnitude (independent of the field produced bythe dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges and , respectively, and the two charges are a distance apart. The dipole has a moment of inertia about its center of...
5. In lecture we saw the electric field of a dipole. In particular, we saw that very far from the dipole, the electric field is proportional to 1/r3. Below is an electric quadrapole. Two charges of -q are on opposites sides of and a distance d away from a charge of +2g. Determine the electric field at the point P in terms of r. What is the highest power of r in your expression for the electric field if P...
5. In lecture we saw the electric field of a dipole. In particular, we saw that very far from the dipole, the electric field is proportional to 1/r3. Below is an electric quadrapole. Two charges of -q are on opposites sides of and a distance d away from a charge of +2q. Determine the electric field at the point P in terms of r. What is the highest power of r in your expression for the electric field if P...
5. In lecture we saw the electric field of a dipole. In particular, we saw that very far from the dipole, the electric field is proportional to 1/r3. Below is an electric quadrapole. Two charges of-q are on opposites sides of and a distance d away from a charge of +2q. Determine the electric field at the point in terms of r. What is the highest power of r in your expression for the electric field if P is taken...
An electric field can induce an electric dipole in a neutral molecule (or atom) by pushing the positive and negative charges inside the molecule in opposite directions. The dipole moment of the induced dipole is directly proportional to the electric field at the molecule. That is, p⃗ =αE⃗ , where p⃗ is the induced dipole moment, α is called the polarizability of the molecule, and E⃗ is the electric field at the molecule. A stronger electric field at the molecule results in a...
"question 2 from pset 2" 4. Place an electric dipole in the electric field you found in problem 9 on PSET 2, such that the dipole moment points along the positive x-axis. In a figure, show the direction of the electric field, the dipole moment and the torque exerted by this field on the dipole. Determine the torque on the dipole due to the external electric field, and the work that the electric field does to rotate the dipole into...
Physics 2: Dipole Moment and Electric Potential Having a hard time with some of these questions. Help would be greatly appreciated. If you could put in all equations used and show your work it would be greatly appreciated. I want to compare the answers I got. You will be rewarded! Thanks :-) A long cylindrical conductor shell has a uniform positive charge distribution per unit length, +2 lambda and with inner radius r and the outer radius 2r.A long wire...
Equations 22-8 and 22-9 are approximations of the magnitude of the electric field of an electric dipole, at points along the dipole axis. Consider a point P onthat axis at distance z = 7.00d from the dipole center(where d is the separation distance between the particles of the dipole). Let Eappr be the magnitude of thefield at point P as approximated by Equations 22-8 and 22-9. Let Eact be the actual magnitude. By how much is the ratio Eappr/Eact less...